/*  meterlog10.c

This file is part of a program that implements a Software-Defined Radio.

Copyright (C) 2013 Warren Pratt, NR0V

This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.

The author can be reached by email at  

warren@wpratt.com

*/

#include "comm.h"

__declspec (align (16)) static const int mbits	= 11;
__declspec (align (16)) static const int mmask	= 2047;
__declspec (align (16)) static const double mconv = 0.301029995663981;
__declspec (align (16)) static const double mtable[2048] = {
0.0000000000000000e+000,  7.0426901124664325e-004,  1.4081943928083889e-003,  2.1117764798519820e-003,  
2.8150156070540383e-003,  3.5179121086019987e-003,  4.2204663181950848e-003,  4.9226785690452447e-003,  
5.6245491938781075e-003,  6.3260785249339207e-003,  7.0272668939685033e-003,  7.7281146322541816e-003,  
8.4286220705807290e-003,  9.1287895392563011e-003,  9.8286173681083767e-003,  1.0528105886484680e-002,  
1.1227255423254120e-002,  1.1926066306807714e-002,  1.2624538865059513e-002,  1.3322673425447519e-002,  
1.4020470314934629e-002,  1.4717929860009516e-002,  1.5415052386687583e-002,  1.6111838220511852e-002,  
1.6808287686553888e-002,  1.7504401109414709e-002,  1.8200178813225682e-002,  1.8895621121649452e-002,  
1.9590728357880813e-002,  2.0285500844647641e-002,  2.0979938904211771e-002,  2.1674042858369907e-002,  
2.2367813028454510e-002,  2.3061249735334684e-002,  2.3754353299417087e-002,  2.4447124040646806e-002,  
2.5139562278508228e-002,  2.5831668332025957e-002,  2.6523442519765676e-002,  2.7214885159835025e-002,  
2.7905996569884486e-002,  2.8596777067108246e-002,  2.9287226968245095e-002,  2.9977346589579280e-002,  
3.0667136246941371e-002,  3.1356596255709142e-002,  3.2045726930808413e-002,  3.2734528586713947e-002,  
3.3423001537450280e-002,  3.4111146096592597e-002,  3.4798962577267598e-002,  3.5486451292154303e-002,  
3.6173612553484981e-002,  3.6860446673045943e-002,  3.7546953962178407e-002,  3.8233134731779347e-002,  
3.8918989292302350e-002,  3.9604517953758425e-002,  4.0289721025716888e-002,  4.0974598817306154e-002,  
4.1659151637214620e-002,  4.2343379793691460e-002,  4.3027283594547480e-002,  4.3710863347155952e-002,  
4.4394119358453436e-002,  4.5077051934940590e-002,  4.5759661382683010e-002,  4.6441948007312085e-002,  
4.7123912114025744e-002,  4.7805554007589353e-002,  4.8486873992336470e-002,  4.9167872372169713e-002,  
4.9848549450561525e-002,  5.0528905530555022e-002,  5.1208940914764793e-002,  5.1888655905377674e-002,  
5.2568050804153624e-002,  5.3247125912426453e-002,  5.3925881531104676e-002,  5.4604317960672298e-002,  
5.5282435501189602e-002,  5.5960234452293950e-002,  5.6637715113200586e-002,  5.7314877782703437e-002,  
5.7991722759175850e-002,  5.8668250340571465e-002,  5.9344460824424933e-002,  6.0020354507852730e-002,  
6.0695931687553932e-002,  6.1371192659811009e-002,  6.2046137720490599e-002,  6.2720767165044267e-002,  
6.3395081288509306e-002,  6.4069080385509486e-002,  6.4742764750255880e-002,  6.5416134676547555e-002,  
6.6089190457772423e-002,  6.6761932386907946e-002,  6.7434360756521899e-002,  6.8106475858773191e-002,  
6.8778277985412611e-002,  6.9449767427783499e-002,  7.0120944476822628e-002,  7.0791809423060917e-002,  
7.1462362556624137e-002,  7.2132604167233730e-002,  7.2802534544207528e-002,  7.3472153976460494e-002,  
7.4141462752505466e-002,  7.4810461160453992e-002,  7.5479149488016914e-002,  7.6147528022505254e-002,  
7.6815597050830894e-002,  7.7483356859507274e-002,  7.8150807734650246e-002,  7.8817949961978662e-002,  
7.9484783826815258e-002,  8.0151309614087257e-002,  8.0817527608327167e-002,  8.1483438093673519e-002,  
8.2149041353871563e-002,  8.2814337672273974e-002,  8.3479327331841671e-002,  8.4144010615144385e-002,  
8.4808387804361535e-002,  8.5472459181282878e-002,  8.6136225027309166e-002,  8.6799685623452999e-002,  
8.7462841250339415e-002,  8.8125692188206650e-002,  8.8788238716906873e-002,  8.9450481115906866e-002,  
9.0112419664288707e-002,  9.0774054640750543e-002,  9.1435386323607218e-002,  9.2096414990791034e-002,  
9.2757140919852446e-002,  9.3417564387960714e-002,  9.4077685671904637e-002,  9.4737505048093279e-002,  
9.5397022792556560e-002,  9.6056239180946093e-002,  9.6715154488535765e-002,  9.7373768990222445e-002,  
9.8032082960526720e-002,  9.8690096673593519e-002,  9.9347810403192877e-002,  1.0000522442272053e-001,  
1.0066233900519864e-001,  1.0131915442327648e-001,  1.0197567094923112e-001,  1.0263188885496805e-001,  
1.0328780841202195e-001,  1.0394342989155728e-001,  1.0459875356436894e-001,  1.0525377970088309e-001,  
1.0590850857115762e-001,  1.0656294044488293e-001,  1.0721707559138261e-001,  1.0787091427961401e-001,  
1.0852445677816905e-001,  1.0917770335527474e-001,  1.0983065427879392e-001,  1.1048330981622587e-001,  
1.1113567023470704e-001,  1.1178773580101162e-001,  1.1243950678155225e-001,  1.1309098344238065e-001,  
1.1374216604918833e-001,  1.1439305486730712e-001,  1.1504365016170993e-001,  1.1569395219701137e-001,  
1.1634396123746831e-001,  1.1699367754698069e-001,  1.1764310138909200e-001,  1.1829223302699000e-001,  
1.1894107272350742e-001,  1.1958962074112245e-001,  1.2023787734195947e-001,  1.2088584278778969e-001,  
1.2153351734003176e-001,  1.2218090125975241e-001,  1.2282799480766708e-001,  1.2347479824414055e-001,  
1.2412131182918758e-001,  1.2476753582247349e-001,  1.2541347048331486e-001,  1.2605911607068010e-001,  
1.2670447284319009e-001,  1.2734954105911880e-001,  1.2799432097639396e-001,  1.2863881285259751e-001,  
1.2928301694496647e-001,  1.2992693351039331e-001,  1.3057056280542675e-001,  1.3121390508627229e-001,  
1.3185696060879285e-001,  1.3249972962850928e-001,  1.3314221240060117e-001,  1.3378440917990725e-001,  
1.3442632022092610e-001,  1.3506794577781681e-001,  1.3570928610439942e-001,  1.3635034145415567e-001,  
1.3699111208022957e-001,  1.3763159823542795e-001,  1.3827180017222110e-001,  1.3891171814274328e-001,  
1.3955135239879354e-001,  1.4019070319183608e-001,  1.4082977077300082e-001,  1.4146855539308437e-001,  
1.4210705730255005e-001,  1.4274527675152901e-001,  1.4338321398982046e-001,  1.4402086926689242e-001,  
1.4465824283188231e-001,  1.4529533493359742e-001,  1.4593214582051564e-001,  1.4656867574078589e-001,  
1.4720492494222884e-001,  1.4784089367233738e-001,  1.4847658217827733e-001,  1.4911199070688783e-001,  
1.4974711950468206e-001,  1.5038196881784779e-001,  1.5101653889224789e-001,  1.5165082997342097e-001,  
1.5228484230658190e-001,  1.5291857613662249e-001,  1.5355203170811183e-001,  1.5418520926529714e-001,  
1.5481810905210403e-001,  1.5545073131213735e-001,  1.5608307628868168e-001,  1.5671514422470162e-001,  
1.5734693536284278e-001,  1.5797844994543206e-001,  1.5860968821447821e-001,  1.5924065041167257e-001,  
1.5987133677838941e-001,  1.6050174755568664e-001,  1.6113188298430628e-001,  1.6176174330467505e-001,  
1.6239132875690487e-001,  1.6302063958079349e-001,  1.6364967601582500e-001,  1.6427843830117031e-001,  
1.6490692667568779e-001,  1.6553514137792383e-001,  1.6616308264611326e-001,  1.6679075071818000e-001,  
1.6741814583173756e-001,  1.6804526822408961e-001,  1.6867211813223043e-001,  1.6929869579284559e-001,  
1.6992500144231237e-001,  1.7055103531670032e-001,  1.7117679765177185e-001,  1.7180228868298272e-001,  
1.7242750864548248e-001,  1.7305245777411524e-001,  1.7367713630341988e-001,  1.7430154446763094e-001,  
1.7492568250067883e-001,  1.7554955063619046e-001,  1.7617314910748991e-001,  1.7679647814759875e-001,  
1.7741953798923660e-001,  1.7804232886482183e-001,  1.7866485100647178e-001,  1.7928710464600359e-001,  
1.7990909001493446e-001,  1.8053080734448240e-001,  1.8115225686556649e-001,  1.8177343880880761e-001,  
1.8239435340452886e-001,  1.8301500088275607e-001,  1.8363538147321837e-001,  1.8425549540534858e-001,  
1.8487534290828386e-001,  1.8549492421086611e-001,  1.8611423954164258e-001,  1.8673328912886625e-001,  
1.8735207320049643e-001,  1.8797059198419924e-001,  1.8858884570734810e-001,  1.8920683459702425e-001,  
1.8982455888001723e-001,  1.9044201878282538e-001,  1.9105921453165634e-001,  1.9167614635242758e-001,  
1.9229281447076688e-001,  1.9290921911201278e-001,  1.9352536050121508e-001,  1.9414123886313550e-001,  
1.9475685442224788e-001,  1.9537220740273889e-001,  1.9598729802850845e-001,  1.9660212652317025e-001,  
1.9721669311005219e-001,  1.9783099801219684e-001,  1.9844504145236205e-001,  1.9905882365302136e-001,  
1.9967234483636440e-001,  2.0028560522429753e-001,  2.0089860503844420e-001,  2.0151134450014555e-001,  
2.0212382383046071e-001,  2.0273604325016748e-001,  2.0334800297976266e-001,  2.0395970323946255e-001,  
2.0457114424920361e-001,  2.0518232622864258e-001,  2.0579324939715726e-001,  2.0640391397384683e-001,  
2.0701432017753244e-001,  2.0762446822675754e-001,  2.0823435833978840e-001,  2.0884399073461471e-001,  
2.0945336562894978e-001,  2.1006248324023125e-001,  2.1067134378562147e-001,  2.1127994748200787e-001,  
2.1188829454600366e-001,  2.1249638519394801e-001,  2.1310421964190671e-001,  2.1371179810567254e-001,  
2.1431912080076582e-001,  2.1492618794243468e-001,  2.1553299974565579e-001,  2.1613955642513461e-001,  
2.1674585819530584e-001,  2.1735190527033405e-001,  2.1795769786411398e-001,  2.1856323619027099e-001,  
2.1916852046216157e-001,  2.1977355089287390e-001,  2.2037832769522800e-001,  2.2098285108177657e-001,  
2.2158712126480504e-001,  2.2219113845633220e-001,  2.2279490286811091e-001,  2.2339841471162797e-001,  
2.2400167419810504e-001,  2.2460468153849889e-001,  2.2520743694350198e-001,  2.2580994062354257e-001,  
2.2641219278878566e-001,  2.2701419364913295e-001,  2.2761594341422362e-001,  2.2821744229343452e-001,  
2.2881869049588088e-001,  2.2941968823041642e-001,  2.3002043570563410e-001,  2.3062093312986631e-001,  
2.3122118071118541e-001,  2.3182117865740429e-001,  2.3242092717607646e-001,  2.3302042647449686e-001,  
2.3361967675970208e-001,  2.3421867823847067e-001,  2.3481743111732398e-001,  2.3541593560252616e-001,  
2.3601419190008480e-001,  2.3661220021575136e-001,  2.3720996075502146e-001,  2.3780747372313552e-001,  
2.3840473932507891e-001,  2.3900175776558261e-001,  2.3959852924912356e-001,  2.4019505397992494e-001,  
2.4079133216195686e-001,  2.4138736399893651e-001,  2.4198314969432871e-001,  2.4257868945134642e-001,  
2.4317398347295091e-001,  2.4376903196185237e-001,  2.4436383512051027e-001,  2.4495839315113374e-001,  
2.4555270625568210e-001,  2.4614677463586504e-001,  2.4674059849314325e-001,  2.4733417802872884e-001,  
2.4792751344358549e-001,  2.4852060493842920e-001,  2.4911345271372837e-001,  2.4970605696970449e-001,  
2.5029841790633245e-001,  2.5089053572334064e-001,  2.5148241062021204e-001,  2.5207404279618389e-001,  
2.5266543245024864e-001,  2.5325657978115390e-001,  2.5384748498740323e-001,  2.5443814826725630e-001,  
2.5502856981872951e-001,  2.5561874983959609e-001,  2.5620868852738665e-001,  2.5679838607938965e-001,  
2.5738784269265180e-001,  2.5797705856397818e-001,  2.5856603388993293e-001,  2.5915476886683958e-001,  
2.5974326369078155e-001,  2.6033151855760200e-001,  2.6091953366290499e-001,  2.6150730920205539e-001,  
2.6209484537017941e-001,  2.6268214236216481e-001,  2.6326920037266166e-001,  2.6385601959608235e-001,  
2.6444260022660221e-001,  2.6502894245815983e-001,  2.6561504648445733e-001,  2.6620091249896100e-001,  
2.6678654069490132e-001,  2.6737193126527387e-001,  2.6795708440283911e-001,  2.6854200030012310e-001,  
2.6912667914941790e-001,  2.6971112114278190e-001,  2.7029532647204002e-001,  2.7087929532878435e-001,  
2.7146302790437460e-001,  2.7204652438993787e-001,  2.7262978497636975e-001,  2.7321280985433433e-001,  
2.7379559921426466e-001,  2.7437815324636305e-001,  2.7496047214060154e-001,  2.7554255608672223e-001,  
2.7612440527423759e-001,  2.7670601989243088e-001,  2.7728740013035663e-001,  2.7786854617684087e-001,  
2.7844945822048139e-001,  2.7903013644964852e-001,  2.7961058105248499e-001,  2.8019079221690657e-001,  
2.8077077013060253e-001,  2.8135051498103575e-001,  2.8193002695544328e-001,  2.8250930624083653e-001,  
2.8308835302400187e-001,  2.8366716749150073e-001,  2.8424574982967005e-001,  2.8482410022462290e-001,  
2.8540221886224837e-001,  2.8598010592821227e-001,  2.8655776160795737e-001,  2.8713518608670380e-001,  
2.8771237954944939e-001,  2.8828934218096997e-001,  2.8886607416581983e-001,  2.8944257568833187e-001,  
2.9001884693261837e-001,  2.9059488808257078e-001,  2.9117069932186052e-001,  2.9174628083393922e-001,  
2.9232163280203893e-001,  2.9289675540917259e-001,  2.9347164883813431e-001,  2.9404631327149994e-001,  
2.9462074889162698e-001,  2.9519495588065547e-001,  2.9576893442050778e-001,  2.9634268469288944e-001,  
2.9691620687928921e-001,  2.9748950116097944e-001,  2.9806256771901651e-001,  2.9863540673424116e-001,  
2.9920801838727878e-001,  2.9978040285853974e-001,  3.0035256032821983e-001,  3.0092449097630042e-001,  
3.0149619498254898e-001,  3.0206767252651939e-001,  3.0263892378755225e-001,  3.0320994894477510e-001,  
3.0378074817710293e-001,  3.0435132166323847e-001,  3.0492166958167249e-001,  3.0549179211068411e-001,  
3.0606168942834128e-001,  3.0663136171250094e-001,  3.0720080914080944e-001,  3.0777003189070284e-001,  
3.0833903013940728e-001,  3.0890780406393920e-001,  3.0947635384110589e-001,  3.1004467964750571e-001,  
3.1061278165952821e-001,  3.1118066005335476e-001,  3.1174831500495892e-001,  3.1231574669010626e-001,  
3.1288295528435539e-001,  3.1344994096305762e-001,  3.1401670390135794e-001,  3.1458324427419465e-001,  
3.1514956225630036e-001,  3.1571565802220181e-001,  3.1628153174622031e-001,  3.1684718360247227e-001,  
3.1741261376486940e-001,  3.1797782240711886e-001,  3.1854280970272381e-001,  3.1910757582498367e-001,  
3.1967212094699443e-001,  3.2023644524164885e-001,  3.2080054888163700e-001,  3.2136443203944637e-001,  
3.2192809488736235e-001,  3.2249153759746840e-001,  3.2305476034164660e-001,  3.2361776329157749e-001,  
3.2418054661874102e-001,  3.2474311049441640e-001,  3.2530545508968250e-001,  3.2586758057541831e-001,  
3.2642948712230313e-001,  3.2699117490081686e-001,  3.2755264408124046e-001,  3.2811389483365605e-001,  
3.2867492732794734e-001,  3.2923574173379999e-001,  3.2979633822070181e-001,  3.3035671695794311e-001,  
3.3091687811461695e-001,  3.3147682185961974e-001,  3.3203654836165097e-001,  3.3259605778921408e-001,  
3.3315535031061649e-001,  3.3371442609396990e-001,  3.3427328530719069e-001,  3.3483192811800017e-001,  
3.3539035469392492e-001,  3.3594856520229699e-001,  3.3650655981025435e-001,  3.3706433868474101e-001,  
3.3762190199250752e-001,  3.3817924990011117e-001,  3.3873638257391619e-001,  3.3929330018009435e-001,  
3.3985000288462475e-001,  3.4040649085329461e-001,  3.4096276425169947e-001,  3.4151882324524319e-001,  
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8.5953478638265290e-001,  8.5992297286175767e-001,  8.6031105491948145e-001,  8.6069903261198766e-001,  
8.6108690599539373e-001,  8.6147467512577258e-001,  8.6186234005915152e-001,  8.6224990085151287e-001,  
8.6263735755879367e-001,  8.6302471023688632e-001,  8.6341195894163758e-001,  8.6379910372884983e-001,  
8.6418614465428023e-001,  8.6457308177364123e-001,  8.6495991514260018e-001,  8.6534664481677981e-001,  
8.6573327085175877e-001,  8.6611979330306987e-001,  8.6650621222620194e-001,  8.6689252767659952e-001,  
8.6727873970966185e-001,  8.6766484838074454e-001,  8.6805085374515811e-001,  8.6843675585816893e-001,  
8.6882255477499892e-001,  8.6920825055082629e-001,  8.6959384324078404e-001,  8.6997933289996177e-001,  
8.7036471958340444e-001,  8.7075000334611330e-001,  8.7113518424304537e-001,  8.7152026232911350e-001,  
8.7190523765918682e-001,  8.7229011028809045e-001,  8.7267488027060558e-001,  8.7305954766146976e-001,  
8.7344411251537646e-001,  8.7382857488697596e-001,  8.7421293483087414e-001,  8.7459719240163414e-001,  
8.7498134765377444e-001,  8.7536540064177093e-001,  8.7574935142005550e-001,  8.7613320004301665e-001,  
8.7651694656499968e-001,  8.7690059104030638e-001,  8.7728413352319523e-001,  8.7766757406788121e-001,  
8.7805091272853664e-001,  8.7843414955929056e-001,  8.7881728461422814e-001,  8.7920031794739262e-001,  
8.7958324961278311e-001,  8.7996607966435669e-001,  8.8034880815602667e-001,  8.8073143514166397e-001,  
8.8111396067509662e-001,  8.8149638481010961e-001,  8.8187870760044540e-001,  8.8226092909980358e-001,  
8.8264304936184135e-001,  8.8302506844017270e-001,  8.8340698638836979e-001,  8.8378880325996145e-001,  
8.8417051910843503e-001,  8.8455213398723431e-001,  8.8493364794976137e-001,  8.8531506104937596e-001,  
8.8569637333939533e-001,  8.8607758487309396e-001,  8.8645869570370506e-001,  8.8683970588441929e-001,  
8.8722061546838504e-001,  8.8760142450870849e-001,  8.8798213305845408e-001,  8.8836274117064418e-001,  
8.8874324889825906e-001,  8.8912365629423729e-001,  8.8950396341147564e-001,  8.8988417030282874e-001,  
8.9026427702110933e-001,  8.9064428361908921e-001,  8.9102419014949741e-001,  8.9140399666502235e-001,  
8.9178370321831013e-001,  8.9216330986196557e-001,  8.9254281664855206e-001,  8.9292222363059115e-001,  
8.9330153086056352e-001,  8.9368073839090778e-001,  8.9405984627402180e-001,  8.9443885456226213e-001,  
8.9481776330794338e-001,  8.9519657256334006e-001,  8.9557528238068440e-001,  8.9595389281216808e-001,  
8.9633240390994184e-001,  8.9671081572611511e-001,  8.9708912831275611e-001,  8.9746734172189280e-001,  
8.9784545600551147e-001,  8.9822347121555823e-001,  8.9860138740393758e-001,  8.9897920462251413e-001,  
8.9935692292311098e-001,  8.9973454235751127e-001,  9.0011206297745650e-001,  9.0048948483464875e-001,  
9.0086680798074847e-001,  9.0124403246737650e-001,  9.0162115834611234e-001,  9.0199818566849566e-001,  
9.0237511448602559e-001,  9.0275194485016075e-001,  9.0312867681231956e-001,  9.0350531042387994e-001,  
9.0388184573618013e-001,  9.0425828280051801e-001,  9.0463462166815056e-001,  9.0501086239029582e-001,  
9.0538700501813074e-001,  9.0576304960279319e-001,  9.0613899619538019e-001,  9.0651484484694955e-001,  
9.0689059560851848e-001,  9.0726624853106508e-001,  9.0764180366552705e-001,  9.0801726106280278e-001,  
9.0839262077375038e-001,  9.0876788284918897e-001,  9.0914304733989726e-001,  9.0951811429661489e-001,  
9.0989308377004208e-001,  9.1026795581083852e-001,  9.1064273046962607e-001,  9.1101740779698570e-001,  
9.1139198784345932e-001,  9.1176647065955008e-001,  9.1214085629572106e-001,  9.1251514480239659e-001,  
9.1288933622996160e-001,  9.1326343062876181e-001,  9.1363742804910353e-001,  9.1401132854125444e-001,  
9.1438513215544270e-001,  9.1475883894185794e-001,  9.1513244895065038e-001,  9.1550596223193115e-001,  
9.1587937883577308e-001,  9.1625269881220983e-001,  9.1662592221123584e-001,  9.1699904908280705e-001,  
9.1737207947684118e-001,  9.1774501344321646e-001,  9.1811785103177268e-001,  9.1849059229231111e-001,  
9.1886323727459451e-001,  9.1923578602834688e-001,  9.1960823860325380e-001,  9.1998059504896212e-001,  
9.2035285541508105e-001,  9.2072501975118048e-001,  9.2109708810679236e-001,  9.2146906053141053e-001,  
9.2184093707449000e-001,  9.2221271778544811e-001,  9.2258440271366371e-001,  9.2295599190847766e-001,  
9.2332748541919218e-001,  9.2369888329507233e-001,  9.2407018558534448e-001,  9.2444139233919720e-001,  
9.2481250360578093e-001,  9.2518351943420840e-001,  9.2555443987355435e-001,  9.2592526497285566e-001,  
9.2629599478111158e-001,  9.2666662934728328e-001,  9.2703716872029474e-001,  9.2740761294903151e-001,  
9.2777796208234220e-001,  9.2814821616903731e-001,  9.2851837525789005e-001,  9.2888843939763588e-001,  
9.2925840863697295e-001,  9.2962828302456202e-001,  9.2999806260902640e-001,  9.3036774743895168e-001,  
9.3073733756288624e-001,  9.3110683302934172e-001,  9.3147623388679179e-001,  9.3184554018367316e-001,  
9.3221475196838521e-001,  9.3258386928929071e-001,  9.3295289219471467e-001,  9.3332182073294523e-001,  
9.3369065495223380e-001,  9.3405939490079426e-001,  9.3442804062680396e-001,  9.3479659217840305e-001,  
9.3516504960369495e-001,  9.3553341295074632e-001,  9.3590168226758697e-001,  9.3626985760220960e-001,  
9.3663793900257053e-001,  9.3700592651658943e-001,  9.3737382019214899e-001,  9.3774162007709538e-001,  
9.3810932621923859e-001,  9.3847693866635173e-001,  9.3884445746617096e-001,  9.3921188266639699e-001,  
9.3957921431469305e-001,  9.3994645245868669e-001,  9.4031359714596874e-001,  9.4068064842409405e-001,  
9.4104760634058060e-001,  9.4141447094291075e-001,  9.4178124227853011e-001,  9.4214792039484874e-001,  
9.4251450533923986e-001,  9.4288099715904095e-001,  9.4324739590155360e-001,  9.4361370161404301e-001,  
9.4397991434373862e-001,  9.4434603413783369e-001,  9.4471206104348582e-001,  9.4507799510781654e-001,  
9.4544383637791152e-001,  9.4580958490082090e-001,  9.4617524072355874e-001,  9.4654080389310347e-001,  
9.4690627445639775e-001,  9.4727165246034861e-001,  9.4763693795182757e-001,  9.4800213097767061e-001,  
9.4836723158467762e-001,  9.4873223981961374e-001,  9.4909715572920783e-001,  9.4946197936015420e-001,  
9.4982671075911085e-001,  9.5019134997270083e-001,  9.5055589704751198e-001,  9.5092035203009662e-001,  
9.5128471496697198e-001,  9.5164898590461966e-001,  9.5201316488948640e-001,  9.5237725196798384e-001,  
9.5274124718648812e-001,  9.5310515059134082e-001,  9.5346896222884792e-001,  9.5383268214528061e-001,  
9.5419631038687525e-001,  9.5455984699983287e-001,  9.5492329203032000e-001,  9.5528664552446818e-001,  
9.5564990752837387e-001,  9.5601307808809877e-001,  9.5637615724967007e-001,  9.5673914505908009e-001,  
9.5710204156228629e-001,  9.5746484680521138e-001,  9.5782756083374387e-001,  9.5819018369373754e-001,  
9.5855271543101106e-001,  9.5891515609134959e-001,  9.5927750572050263e-001,  9.5963976436418608e-001,  
9.6000193206808082e-001,  9.6036400887783413e-001,  9.6072599483905807e-001,  9.6108788999733064e-001,  
9.6144969439819583e-001,  9.6181140808716326e-001,  9.6217303110970820e-001,  9.6253456351127165e-001,  
9.6289600533726050e-001,  9.6325735663304790e-001,  9.6361861744397259e-001,  9.6397978781533911e-001,  
9.6434086779241834e-001,  9.6470185742044690e-001,  9.6506275674462760e-001,  9.6542356581012922e-001,  
9.6578428466208699e-001,  9.6614491334560193e-001,  9.6650545190574111e-001,  9.6686590038753850e-001,  
9.6722625883599356e-001,  9.6758652729607242e-001,  9.6794670581270770e-001,  9.6830679443079792e-001,  
9.6866679319520843e-001,  9.6902670215077058e-001,  9.6938652134228265e-001,  9.6974625081450894e-001,  
9.7010589061218078e-001,  9.7046544077999519e-001,  9.7082490136261712e-001,  9.7118427240467686e-001,  
9.7154355395077185e-001,  9.7190274604546667e-001,  9.7226184873329191e-001,  9.7262086205874509e-001,  
9.7297978606629087e-001,  9.7333862080036049e-001,  9.7369736630535186e-001,  9.7405602262563018e-001,  
9.7441458980552709e-001,  9.7477306788934170e-001,  9.7513145692133973e-001,  9.7548975694575402e-001,  
9.7584796800678464e-001,  9.7620609014859849e-001,  9.7656412341532972e-001,  9.7692206785107960e-001,  
9.7727992349991655e-001,  9.7763769040587623e-001,  9.7799536861296144e-001,  9.7835295816514267e-001,  
9.7871045910635723e-001,  9.7906787148051000e-001,  9.7942519533147321e-001,  9.7978243070308657e-001,  
9.8013957763915704e-001,  9.8049663618345917e-001,  9.8085360637973529e-001,  9.8121048827169477e-001,  
9.8156728190301468e-001,  9.8192398731733999e-001,  9.8228060455828281e-001,  9.8263713366942373e-001,  
9.8299357469431004e-001,  9.8334992767645768e-001,  9.8370619265934944e-001,  9.8406236968643668e-001,  
9.8441845880113821e-001,  9.8477446004684077e-001,  9.8513037346689891e-001,  9.8548619910463542e-001,  
9.8584193700334044e-001,  9.8619758720627293e-001,  9.8655314975665886e-001,  9.8690862469769336e-001,  
9.8726401207253855e-001,  9.8761931192432550e-001,  9.8797452429615296e-001,  9.8832964923108790e-001,  
9.8868468677216581e-001,  9.8903963696239017e-001,  9.8939449984473249e-001,  9.8974927546213298e-001,  
9.9010396385750010e-001,  9.9045856507371044e-001,  9.9081307915360939e-001,  9.9116750614001037e-001,  
9.9152184607569527e-001,  9.9187609900341478e-001,  9.9223026496588806e-001,  9.9258434400580220e-001,  
9.9293833616581384e-001,  9.9329224148854744e-001,  9.9364606001659650e-001,  9.9399979179252318e-001,  
9.9435343685885791e-001,  9.9470699525810047e-001,  9.9506046703271911e-001,  9.9541385222515089e-001,  
9.9576715087780143e-001,  9.9612036303304574e-001,  9.9647348873322728e-001,  9.9682652802065863e-001,  
9.9717948093762132e-001,  9.9753234752636577e-001,  9.9788512782911110e-001,  9.9823782188804633e-001,  
9.9859042974532852e-001,  9.9894295144308476e-001,  9.9929538702341059e-001,  9.9964773652837102e-001};


__forceinline double mlog10 (double val)
{
	unsigned _int64* pin = (unsigned _int64*)(&val);
	unsigned _int64    N = *pin;
    int e = (int)(((N >> 52) & 2047) - 1023);
    int m = (int)((N >> (52 - mbits)) & mmask);
	return mconv * (e + mtable[m]);
}